IM 1 Final Review

When plotted on a coordinate grid, a sidewalk in a park can be modeled with the equation 2x−y=7 .

The owner of the park plans to build two straight walkways parallel to the first walkway.

The equations of these two walkways could be (select TWO):

• y=2x

• 2x-y=4

• 2x+y=4

• x+2y=7

• 2x+y=7

The following are true for △LMN.

m∠L=45°; m∠M=65°; LM=7 inches

Triangle LMN is reflected across the x-axis and then rotated about its center to form its image, △L'M'N'.

Find m∠L'

• 110

• 45

• 70

• 55

Which is NOT part of the solution?

• (0,0)

• (9,0)

• (8,2)

• (0,6)

Jennifer is at an amusement park, where roller coaster rides cost 5 tickets each and all other rides cost 3 tickets each. She has time for no more than 12 rides, and she can use no more than 55 tickets.

The system below represents the above conditions, where x is the number of roller coaster rides and y is the number of other rides.

x+y ≤ 125

x+3y ≤ 55

• Option 1: 8 roller coaster rides and 5 other rides

• Option 2: 9 roller coaster rides and 3 other rides

Which option(s), if any, are viable for Jennifer?

• 1

• 2

• Both

• Neither

Is the vertical line a function?

• Yes

• No

An inequality is given below.

5x-9 ≤ 2x+6

Determine which value of x is NOT a solution to the inequality.

• -6

• -1

• 5

• 8

A large city launched an initiative to make free wireless internet access available to all its residents. The number of wireless hotspots in the city during a certain timeframe is shown in the graph below. 

This growth is described by the function w=1003(m⁴), where m is the number of months since the initiative began and w is the number of wireless hotspots. What is the range for the function that represents the number of wireless hotspots as a function of time, in months, since the initiative began?

• real numbers from 100 to 900

  
  

• real numbers greater than 100

  
  

• real numbers from 1 to 8

  
  

• real numbers greater than zero

  
  

A carpenter makes tables and chairs. It takes 5 hours to make a table and 3 hours to make a chair.

• x represents the number of tables made each month

• y represents the number of chairs made each month

What does the expression 5x+3y represent?

• the total number of tables and chairs that are made in 8 hours

  
  

• the total number of tables and chairs that are made each month

  
  

• the total number of hours used to make 5 tables and 3 chairs

  
  

• the total number of hours used to make tables and chairs each month

  
  

To raise money, a school band is selling tickets to a breakfast. The graph on the coordinate grid below shows the functional relationship between the number of tickets sold and the revenue.

Based on the graph, which statement describes appropriate domain values of the function?

• The domain of the function includes all integers from 0 to 400.

  
  

• The domain of the function includes all integers from 0 to 80.

  
  

• The domain of the function includes all real numbers.

  
  

• The domain of the function includes all real numbers from 0 to 100.

  
  

On a road that is being constructed, houses must be within 200 feet of a fire hydrant.  The fire hydrant is located at a point represented by the number 50 on a number line where each number on the number line represents 1 foot.

Which absolute value equation represents the farthest points that the houses could be located on the number line?

• |x-50|=200

• |x-200|=50

• |x+50|=200

• |x+200|=50